julieJu17 julieJu17
  • 04-04-2018
  • Mathematics
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AB is tangent to O. If AO=12 and BC=25 what is AB ? The diagram is not to scale.
A. 35
B. 37
C. 50
D. 47

AB is tangent to O If AO12 and BC25 what is AB The diagram is not to scale A 35 B 37 C 50 D 47 class=

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SINAZEUS
SINAZEUS SINAZEUS
  • 04-04-2018
the answer is A


AO = 12

BC= 25+ 12= 37
you can get help from Pythagoras theorem
[tex] {37}^{2} = {12}^{2} + {x}^{2} \\ - {x}^{2} = {12}^{2} - {37}^{2} \\ - {x}^{2} = 144 - 1369 = - 1225 \\1225 = {x}^{2} [/tex]
[tex]x = \sqrt{1225} = 35[/tex]


good luck
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